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Standard XII

Physics

Partially Inelastic Collision

A block of ma...

Question

A block of mass $10 k g$ moving in $x$ direction with a constant speed of $10 m / s$ , is subjected to a retarding force $F = 0.1 \times J / m$ during its travel from $x = 20 m$ to $30 m$ . Its final KE will be:

450 J

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275 J

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250 J

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499 J

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Solution

The correct option is D $499 J$
By energy conservation,
$\frac{1}{2} m (10)^{2} = F \times (d) + K . E$
$K . E = \frac{1}{2} \times 10 \times 10^{2} - F d$
$= 500 - 0.1 \times (30 - 20)$
$= 500 - 1 = 499$

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A block of mass 10kg moving in x direction with a constant speed of 10m/s, is subjected to a retarding force F=0.1×J/m during its travel from x=20m to 30m. Its final KE will be:

The correct option is D 499JBy energy conservation,12m(10)2=F×(d)+K.EK.E=12×10×102−Fd=500−0.1×(30−20)=500−1=499

A block of mass $10 k g$ moving in $x$ direction with a constant speed of $10 m / s$ , is subjected to a retarding force $F = 0.1 \times J / m$ during its travel from $x = 20 m$ to $30 m$ . Its final KE will be:

The correct option is D $499 J$
By energy conservation,
$\frac{1}{2} m (10)^{2} = F \times (d) + K . E$
$K . E = \frac{1}{2} \times 10 \times 10^{2} - F d$
$= 500 - 0.1 \times (30 - 20)$
$= 500 - 1 = 499$